The Blind Source Separation (BSS) algorithm has got more and more attention in signal processing field. Among the BSS algorithm, the natural gradient algorithm is one of the important method. This study mainly introduces the way of the natural gradient algorithm and realizes an application in the speech signal processing. Through the experiment, when the iteration of 60 times, the natural gradient algorithm on the speech signal separation can realize convergence and the steady-state string sound error approaches to zero which proving the good separation results based on the gradient algorithm on the speech signal separation.
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